Stell, JG and Worboys, M (2011) Relations between adjacency trees. Theoretical Computer Science, 412 (34). 4452 - 4468 (17). ISSN 0304-3975
Abstract
Adjacency trees can model the nesting structure of spatial regions. In many applications it is necessary to model foreground and background regions which exhibit changes over time such as splitting, where one region divides into two. For example, the qualitative description of the development of wildfires would use the foreground for areas on fire and the background for areas not on fire. Such dynamic behaviour can be modelled by a particular kind of relation between the nodes of two adjacency trees representing the initial and final configurations of the regions at two times. These relations, which we call bipartite, correspond to having an arbitrary relation between the foreground regions at the two times and an arbitrary relation between the background regions at the two times. We show that all bipartite relations between trees arise from sequences of atomic relations between trees. There are just four types of these atomic relations (in addition to one representing no change): inserts, splits, merges and deletes.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2011 Elsevier B.V.. This is an author produced version of a paper subsequently published in Theoretical Computer Science. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | adjacency trees, relations, spatial reasoning, qualitative spatial change |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 11 Jul 2011 15:10 |
Last Modified: | 29 Mar 2018 10:27 |
Published Version: | http://dx.doi.org/10.1016/j.tcs.2011.04.029 |
Status: | Published |
Publisher: | Elsevier B.V. |
Identification Number: | 10.1016/j.tcs.2011.04.029 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:43133 |